smooth interpolation

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• Interpolation (computer programming) — In the context of computer animation, interpolation refers to the use of (usually) piecewise polynomial interpolation to draw images semi automatically. For all applications of this type, a set of key points is defined by the graphic artist.… …   Wikipedia

• Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …   Wikipedia

• Linear interpolation — is a method of curve fitting using linear polynomials. It is heavily employed in mathematics (particularly numerical analysis), and numerous applications including computer graphics. It is a simple form of interpolation. Lerp is a quasi acronym… …   Wikipedia

• Motion interpolation — is a form of video processing in which intermediate animation frames are generated between existing ones, in an attempt to make animation more fluid. Contents 1 Applications 1.1 HDTV 1.2 Side effects 1.2.1 …   Wikipedia

• Quaternions and spatial rotation — Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. Compared to… …   Wikipedia

• Moving least squares — is a method of reconstructing continuous functions from a set of unorganized point samples via the calculation of a weighted least squares measure biased towards the region around the point at which the reconstructed value is requested. In… …   Wikipedia

• German hip hop — The term German Hip Hop denotes hip hop music produced in Germany. Elements of American hip hop culture, such as graffiti art and breakdancing, diffused into Western Europe in the early 1980s. The first German hip hop artists emerged in the mid… …   Wikipedia

• Spline (mathematics) — A quadratic spline composed of six polynomial segments. Between point 0 and point 1 a straight line. Between point 1 and point 2 a parabola with second derivative = 4. Between point 2 and point 3 a parabola with second derivative = 2. Between… …   Wikipedia

• Bézier curve — Cubic Bézier curve A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case. In… …   Wikipedia

• Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

• Clenshaw–Curtis quadrature — and Fejér quadrature are methods for numerical integration, or quadrature , that are based on an expansion of the integrand in terms of Chebyshev polynomials. Equivalently, they employ a change of variables x = cos θ and use a discrete… …   Wikipedia